Spin state of iron in I-42d-type Mg2SiO4 at ultra-high pressures

Abstract: At extreme pressures of approximately 500 GPa, conditions characteristic of the deep interiors of super-Earths, the combination of NaCl-type MgO and post-perovskite-type MgSiO3 (PPv) has been reported to produce a post-PPv phase of Mg2SiO4 with an I-42d symmetry. This post-PPv (pppv) silicate is proposed as the primary mantle silicate in these massive rocky exoplanets. Understanding the fundamental properties of pppv, particularly in solid solutions with Fe2SiO4, is crucial for insights into the interior dynamics and compositions of such planets. In this study, we conduct an ab initio investigation of the properties of Fe2+-bearing pppv at pressures ranging from 400 GPa to 1 TPa. Given the localized nature of 3d-electrons in iron, we employ the LDA+Usc method alongside conventional DFT functionals to probe the electronic structure of this system. The dependence of the Hubbard parameter U on volume and spin state is carefully evaluated. Furthermore, we systematically explore the effects of pressure, temperature, and structural variations on the spin state of iron in Fe2+-bearing pppv, providing valuable data to improve mantle modeling for super-Earth-type exoplanets.